Hyperinvariant subspaces of operators on Hilbert spaces
Štefan Drahovský, Michal Zajac (1994)
Banach Center Publications
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Štefan Drahovský, Michal Zajac (1994)
Banach Center Publications
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W. B. Johnson (1979-1980)
Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
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Risteski, Ice B., Trencevski, Kostadin G. (2001)
Beiträge zur Algebra und Geometrie
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Izuchi, Kou Hei (2011)
The New York Journal of Mathematics [electronic only]
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P. Bandyopadhyay, S. Basu, S. Dutta, B.-L. Lin (2003)
Extracta Mathematicae
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Laurian Suciu (2006)
Extracta Mathematicae
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Some invariant subspaces for the operators A and T acting on a Hilbert space H and satisfying T*AT ≤ A and A ≥ 0, are presented. Especially, the largest invariant subspace for A and T on which the equality T* AT = A occurs, is studied in connections to others invariant or reducing subspaces for A, or T. Such subspaces are related to the asymptotic form of the subspace quoted above, this form being obtained using the operator limit of the sequence {TAT; n ≥ 1}. More complete results are...
Vitaly V. Fedorchuk (2012)
Matematički Vesnik
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Elói Medina Galego, Anatolij Plichko (2003)
Extracta Mathematicae
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In this short note we give a negative answer to a question of Argyros, Castillo, Granero, Jiménez and Moreno concerning Banach spaces which contain complemented and uncomplemented subspaces isomorphic to c.
Ahdout, Shahla, Rothman, Sheldon (2006)
Revista Colombiana de Matemáticas
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W. Waliszewski (1981)
Colloquium Mathematicae
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W. F. Pfeffer (1976)
Colloquium Mathematicae
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Castejón, A., Corbacho, E., Tarieladze, V. (2001)
Georgian Mathematical Journal
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